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Finding the Fourth Proportional to 36,941.50, 55,412.25 and 9,239.50

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Solution

The fourth proportional to 36,941.50, 55,412.25 and 9,239.50 is: 13,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941.50 : 55,412.25 = 9,239.50 : x
  2. Step 2: Convert to fraction form
    36,941.50/55,412.25 = 9,239.50/x
  3. Step 3: Cross multiply
    36,941.50x = 55,412.25 × 9,239.50
  4. Step 4: Simplify right side
    36,941.50x = 511,981,483.88
  5. Step 5: Solve for x
    x = 511,981,483.88/36,941.50
  6. Step 6: Final answer
    x = 13,859.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.